Online GCD Calculator is useful to find the GCD of 378, 108, 884, 714 quickly. Get the easiest ways to solve the greatest common divisor of 378, 108, 884, 714 i.e 2 in different methods as follows.
Given Input numbers are 378, 108, 884, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 884 :
The positive integer divisors of 884 that completely divides 884 are.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (378, 108, 884, 714) = 2.
Given numbers are 378, 108, 884, 714
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 884 are 2 x 2 x 13 x 17
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 378, 108, 884, 714 is 2.
Given numbers are 378, 108, 884, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 108) = 756
GCD(378, 108) = ( 378 x 108 ) / 756
= 378 / 108
= 378
Step2:
LCM(54, 884) = 23868
GCD(54, 884) = ( 54 x 884 ) / 23868
= 54 / 884
= 54
Step3:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
So, Greatest Common Divisor of 378, 108, 884, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 108, 884, 714
The greatest common divisor of numbers 378, 108, 884, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 108, 884, 714 is 2.
1. What is the GCD of 378, 108, 884, 714?
GCD of given numbers 378, 108, 884, 714 is 2
2. How to calculate the greatest common divisor of 378, 108, 884, 714?
We can find the highest common divisor of 378, 108, 884, 714 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 378, 108, 884, 714 i.e 2.
3. How can I use the GCD of 378, 108, 884, 714Calculator?
Out the numbers 378, 108, 884, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.